BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Davide Barilari (Università degli Studi di Padova) DTSTART:20210413T150000Z DTEND:20210413T160000Z DTSTAMP:20260423T021111Z UID:ADGIS/3 DESCRIPTION:Title: On the Brunn-Minkovski inequality and sub-Riemannian curvature\nby David e Barilari (Università degli Studi di Padova) as part of Analysis and Dif ferential Geometry International Seminar @ Aveiro\n\n\nAbstract\nThe class ical Brunn-Minkovski inequality in the Euclidean space generalizes to Riem annian manifolds with Ricci curvature bounded from below. Indeed this ineq uality can be used to define the notion of "Ricci curvature bounded from b elow" for more general metric spaces. A class of spaces which do not satis fy this more general definition is the one of sub-Riemannian manifolds: th ese can be seen as a limit of Riemannian manifolds having Ricci curvature that is unbounded\, whose prototype is the Heisenberg group. \n\nIn the fi rst part of the talk I will discuss about the validity of a Brunn-Minkovsk y type inequality in the SR setting. The second part concerns a notion of sub-Riemannian Bakry-Émery curvature and the corresponding comparison the orems for distortion coefficients. The model spaces for comparison are var iational problems coming from optimal control theory.\n LOCATION:https://researchseminars.org/talk/ADGIS/3/ END:VEVENT END:VCALENDAR